Date of Award
Fall 11-9-2012
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
First Advisor
Dr. Frank J. Hall
Abstract
If A is an nxn complex matrix and λ is an eigenvalue of A with geometric multiplicity k, then λ is in at least k of the Geršgorin discs Di of A.
Let k, r, t be positive integers with k ≤ r ≤ t. Then there is a txt complex matrix A and an eigenvalue λ of A such that λ has geometric multiplicity k and algebraic multiplicity t, and λ is in precisely r Geršgorin Discs of A. Some examples and related results are also provided.
DOI
https://doi.org/10.57709/3489981
Recommended Citation
Marsli, Rachid, "Geršgorin Discs and Geometric Multiplicity." Thesis, Georgia State University, 2012.
doi: https://doi.org/10.57709/3489981
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